Abstract
In many important applications it is desirable to find an integral representation for the solution to a boundary value problem. To achieve this goal we first discuss in this chapter “nonsmooth” solutions to such problems and then show how the existence of such solutions enable us to solve our original problem.
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Bibliography
I Stakgold — Green’s functions and Boundary Value Problems, Wiley, New York, NY (1979).
F. B. Hildebrand — Methods of applied mathematics, 2nd edition Prentice Hall, Englewood Cliffs, N.J. (1965).
E. L. Ince — Ordinary differential equations, Dover, New York, NY (1956).
G. F. Roach — Green’s functions, 2nd edition, Cambridge University Press, London 1982.
A Hochstadt — Integral equations, Wiley, New York, NY 1973.
A. J. Jerri — Introduction to integral equations with applications, M. Dekker, New York, NY (1985).
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© 1988 Springer-Verlag New York Inc.
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Humi, M., Miller, W. (1988). Greens’s Functions. In: Second Course in Ordinary Differential Equations for Scientists and Engineers. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3832-4_7
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DOI: https://doi.org/10.1007/978-1-4612-3832-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96676-2
Online ISBN: 978-1-4612-3832-4
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